dorsal/arxiv
View SchemaBaryon resonances in a chiral confining model (I)
| Authors | Y. Umino, M. K. Banerjee |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9806001 |
| URL | https://arxiv.org/abs/nucl-th/9806001 |
Abstract
In this two part series a chiral confining model of baryons is used to describe low--lying negative parity resonances $N^*$, $\Delta^*$, $\Lambda^*$ and $\Sigma^*$ in the mean field approximation. A physical baryon in this model consists of interacting valence quarks, mesons and a color and chiral singlet hybrid field coexisting inside a dynamically generated confining region. This first paper presents the quark contribution to the masses and wave functions of negative parity baryons calculated with an effective spin--isospin dependent instanton induced interaction. It does not include meson exchanges between quarks. The three--quark wave functions are used to calculate meson--excited baryon vertex functions to lowest order in meson--quark coupling. When the baryons are on mass--shell each of these vertex functions is a product of a coupling constant and a form factor. As examples, quark contributions to $N^*$ hadronic form factors as well as axial coupling constants are extracted from the vertex functions and problems with the analytical behaviour of the model form factors are discussed. The second paper will examine the mesonic corrections to excited baryon properties in the heavy baryon and one--loop approximations.
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"abstract": "In this two part series a chiral confining model of baryons is used to\ndescribe low--lying negative parity resonances $N^*$, $\\Delta^*$, $\\Lambda^*$\nand $\\Sigma^*$ in the mean field approximation. A physical baryon in this model\nconsists of interacting valence quarks, mesons and a color and chiral singlet\nhybrid field coexisting inside a dynamically generated confining region. This\nfirst paper presents the quark contribution to the masses and wave functions of\nnegative parity baryons calculated with an effective spin--isospin dependent\ninstanton induced interaction. It does not include meson exchanges between\nquarks. The three--quark wave functions are used to calculate meson--excited\nbaryon vertex functions to lowest order in meson--quark coupling. When the\nbaryons are on mass--shell each of these vertex functions is a product of a\ncoupling constant and a form factor. As examples, quark contributions to $N^*$\nhadronic form factors as well as axial coupling constants are extracted from\nthe vertex functions and problems with the analytical behaviour of the model\nform factors are discussed. The second paper will examine the mesonic\ncorrections to excited baryon properties in the heavy baryon and one--loop\napproximations.",
"arxiv_id": "nucl-th/9806001",
"authors": [
"Y. Umino",
"M. K. Banerjee"
],
"categories": [
"nucl-th",
"hep-ph"
],
"title": "Baryon resonances in a chiral confining model (I)",
"url": "https://arxiv.org/abs/nucl-th/9806001"
},
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